Any time that songs, apps, or books are downloaded on another device using your Apple ID they’ll also appear on your iPhone if automatic downloads is turned on – without needing to sync.
To turn this on, open Settings, then iTunes & App Store. Turn on the items you’d like to be downloaded automatically to your device.
By default the App Store can update your apps automatically. If you want to take back control though, you can.
Open Settings, select the iTunes & App Store option and turn off the Updates choice.
To update apps, open App Store, then the Updates tab, where you can manually choose which to update.